Information on Result #1093133
Linear OOA(2199, 65, F2, 4, 88) (dual of [(65, 4), 61, 89]-NRT-code), using construction X applied to AG(4;F,51P) ⊂ AG(4;F,65P) based on
- linear OOA(2158, 48, F2, 4, 89) (dual of [(48, 4), 34, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,51P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2130, 48, F2, 4, 61) (dual of [(48, 4), 62, 62]-NRT-code), using algebraic-geometric NRT-code AG(4;F,65P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(241, 17, F2, 4, 26) (dual of [(17, 4), 27, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,41P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2199, 65, F2, 4, 87) (dual of [(65, 4), 61, 88]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2199, 65, F2, 4, 86) (dual of [(65, 4), 61, 87]-NRT-code) | [i] | ||
| 3 | Linear OOA(2199, 65, F2, 4, 85) (dual of [(65, 4), 61, 86]-NRT-code) | [i] | ||
| 4 | Linear OOA(2203, 66, F2, 4, 88) (dual of [(66, 4), 61, 89]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |